The balance sheet method
Another place to get information on issued shares is the balance sheet. In particular, when a company issues stock that has a par value, the balance sheet will typically have numbers you can use to calculate issued shares.
In particular, the common stock line of the balance sheet will typically have a number that equals the par value of each share multiplied by the number of shares issued. Therefore, if you have the balance sheet entry and the par value, you can calculate the issued share count. In some cases, there will be a separate line item on the balance sheet for treasury stock, and a similar calculation can tell you the number of shares issued but not outstanding. Add in outstanding shares, and you have the total share count.